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Finding the Fourth Proportional to 581.06, 870.96 and 272.72

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Solution

The fourth proportional to 581.06, 870.96 and 272.72 is: 408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.06 : 870.96 = 272.72 : x
  2. Step 2: Convert to fraction form
    581.06/870.96 = 272.72/x
  3. Step 3: Cross multiply
    581.06x = 870.96 × 272.72
  4. Step 4: Simplify right side
    581.06x = 237,528.21
  5. Step 5: Solve for x
    x = 237,528.21/581.06
  6. Step 6: Final answer
    x = 408.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.